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In a population of chickens, the average (arithmetic mean) w
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Updated on: 03 Feb 2020, 12:47
Updated on: 03 Feb 2020, 12:47
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In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?
Indicate all weights.
A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2
Indicate all weights.
A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2
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Official Answer
B,C,D,E
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Re: In a population of chickens, the average (arithmetic mean) w
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03 Feb 2020, 09:36
03 Feb 2020, 09:36
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souravp94 wrote:
In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?
Indicate all weights.
A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2
Indicate all weights.
A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2
Mean weight = 6.3 lb
Standard deviation = 1.2 lb
Thus, 1.5 times the standard deviation = 1.5 * 1.2 = 1.8 lb
Thus, 1.5 times the standard deviation from the mean refers to the upper limit as 6.3 + 1.8 = 7.1 lb and the lower limit as 6.3 - 1.8 - 4.5 lb
Thus, we need to determine the values between 4.5 lb and 7.1 lb
Answer: B, C, D, E
Re: In a population of chickens, the average (arithmetic mean) w
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30 Jun 2020, 04:25
30 Jun 2020, 04:25
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Actually, the upper limit should be 6.3 + 1.8 = 8.1 and not 7.1. In this case options B-G lie within the range of 1.5 standard deviations.
